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Finding the Fourth Proportional to 14,745.13, 22,095.81 and 10,830.40

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Solution

The fourth proportional to 14,745.13, 22,095.81 and 10,830.40 is: 16,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.13 : 22,095.81 = 10,830.40 : x
  2. Step 2: Convert to fraction form
    14,745.13/22,095.81 = 10,830.40/x
  3. Step 3: Cross multiply
    14,745.13x = 22,095.81 × 10,830.40
  4. Step 4: Simplify right side
    14,745.13x = 239,306,432.46
  5. Step 5: Solve for x
    x = 239,306,432.46/14,745.13
  6. Step 6: Final answer
    x = 16,229.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.